Finite Group DatabasebetaFinite Group DatabasebetaOrder 8000.
1797 conjugacy classes of subgroups; only the 313 normal subgroups are shown.
This group has 1797 conjugacy classes of subgroups — too many to draw. Only its 313 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#92537⋊C2 | 2 |
| C22×(#1043⋊C5)⋊C2 | 2 |
| C2×#14522510 | 2 |
| C22×AGL(1,𝔽5)2 | 5 |